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5040360 = 2333513359
BaseRepresentation
bin10011001110100011101000
3100111002002000
4103032203220
52242242420
6300011000
760561633
oct23164350
910432060
105040360
112932996
121830a60
131076280
14952c1a
15698690
hex4ce8e8

5040360 has 128 divisors (see below), whose sum is σ = 18144000. Its totient is φ = 1237248.

The previous prime is 5040359. The next prime is 5040379. The reversal of 5040360 is 630405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13861 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 25040360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9072000).

5040360 is an abundant number, since it is smaller than the sum of its proper divisors (13103640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5040360 is a wasteful number, since it uses less digits than its factorization.

5040360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 5040360 is about 2245.0746090052. The cubic root of 5040360 is about 171.4564597485.

Adding to 5040360 its reverse (630405), we get a palindrome (5670765).

The spelling of 5040360 in words is "five million, forty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 359 360 390 468 520 540 585 702 718 780 936 1077 1080 1170 1404 1436 1560 1755 1795 2154 2340 2808 2872 3231 3510 3590 4308 4667 4680 5385 6462 7020 7180 8616 9334 9693 10770 12924 14001 14040 14360 16155 18668 19386 21540 23335 25848 28002 32310 37336 38772 42003 43080 46670 48465 56004 64620 70005 77544 84006 93340 96930 112008 126009 129240 140010 168012 186680 193860 210015 252018 280020 336024 387720 420030 504036 560040 630045 840060 1008072 1260090 1680120 2520180 5040360